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3343113432 = 233341438779
BaseRepresentation
bin1100011101000011…
…1101110011011000
322121222122202111000
43013100331303120
523321314112212
61311422305000
7145562665251
oct30720756330
98558582430
103343113432
11146611166a
12793728160
134137c9039
14239dddb28
1514876c1dc
hexc743dcd8

3343113432 has 128 divisors (see below), whose sum is σ = 9735264000. Its totient is φ = 1061786880.

The previous prime is 3343113419. The next prime is 3343113437. The reversal of 3343113432 is 2343113433.

3343113432 is a `hidden beast` number, since 3 + 3 + 4 + 311 + 343 + 2 = 666.

It is a super-2 number, since 2×33431134322 = 22352814838437637248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3343113396 and 3343113405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343113437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376419 + ... + 385197.

It is an arithmetic number, because the mean of its divisors is an integer number (76056750).

Almost surely, 23343113432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3343113432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867632000).

3343113432 is an abundant number, since it is smaller than the sum of its proper divisors (6392150568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3343113432 is a wasteful number, since it uses less digits than its factorization.

3343113432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8878 (or 8868 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3343113432 is about 57819.6630221934. The cubic root of 3343113432 is about 1495.2611083703.

Adding to 3343113432 its reverse (2343113433), we get a palindrome (5686226865).

Subtracting from 3343113432 its reverse (2343113433), we obtain a palindrome (999999999).

The spelling of 3343113432 in words is "three billion, three hundred forty-three million, one hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 43 54 72 82 86 108 123 129 164 172 216 246 258 328 344 369 387 492 516 738 774 984 1032 1107 1161 1476 1548 1763 2214 2322 2952 3096 3526 4428 4644 5289 7052 8779 8856 9288 10578 14104 15867 17558 21156 26337 31734 35116 42312 47601 52674 63468 70232 79011 95202 105348 126936 158022 190404 210696 237033 316044 359939 377497 380808 474066 632088 719878 754994 948132 1079817 1132491 1439756 1509988 1896264 2159634 2264982 2879512 3019976 3239451 3397473 4319268 4529964 6478902 6794946 8638536 9059928 9718353 10192419 12957804 13589892 15477377 19436706 20384838 25915608 27179784 30954754 38873412 40769676 46432131 61909508 77746824 81539352 92864262 123819016 139296393 185728524 278592786 371457048 417889179 557185572 835778358 1114371144 1671556716 3343113432